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Book Categories |
| A motivating problem (K.) | 1 | |
| 1 | Introduction to the Novikov and the Borel conjecture (L.) | 5 |
| 2 | Normal bordism groups (K.) | 11 |
| 3 | The signature (K.) | 17 |
| 4 | The signature theorem and the Novikov conjecture (K.) | 25 |
| 5 | The projective class group and the Whitehead group (L.) | 33 |
| 6 | Whitehead torsion (L.) | 43 |
| 7 | The statement and consequences of the s-Cobordism theorem (L.) | 55 |
| 8 | Sketch of the proof of the s-Cobordism theorem (L.) | 59 |
| 9 | From the Novikov conjecture to surgery (K.) | 69 |
| 10 | Surgery below the middle dimension I : an example (K.) | 75 |
| 11 | Surgery below the middle dimension II : systematically (K.) | 79 |
| 12 | Surgery in the middle dimension I (K.) | 87 |
| 13 | Surgery in the middle dimension II (K.) | 93 |
| 14 | Surgery in the middle dimension III (K.) | 99 |
| 15 | An assembly map (K.) | 109 |
| 16 | The Novikov conjecture for Z[superscript n] (K.) | 113 |
| 17 | Poincare duality and algebraic L-groups (L. and Varisco) | 119 |
| 18 | Spectra (L.) | 133 |
| 19 | Classifying spaces of families (L.) | 153 |
| 20 | Equivariant homology theories and the meta-conjecture (L.) | 163 |
| 21 | The Farrell-Jones conjecture (L.) | 173 |
| 22 | The Baum-Connes conjecture (L.) | 185 |
| 23 | Relating the Novikov, the Farrell-Jones and the Baum-Connes conjectures (L.) | 191 |
| 24 | Miscellaneous (L.) | 201 |
| 25 | Exercises | 215 |
| 26 | Hints to the solutions of the exercises | 223 |
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
John Doe
reviewed The Novikov Conjecture: Geometry and Algebra on April 16, 2015
The Novikov Conjecture
The definitive starting point
So, if you are as into category theory as I am, I'd suggest to go through this one first. Clear, understandable, containing loads of examples and exercises to grasp the basics.
After this you may embark on Saunders' book. After all, Awodey was a doctoral student of Saunders'.
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